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<div class="title">bspline_data.hpp</div>  </div>
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<div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="comment">/*</span></div>
<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="comment">Copyright (c) 2006, Michael Kazhdan and Matthew Bolitho</span></div>
<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;<span class="comment">All rights reserved.</span></div>
<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="comment"></span> </div>
<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="comment">Redistribution and use in source and binary forms, with or without modification,</span></div>
<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="comment">are permitted provided that the following conditions are met:</span></div>
<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="comment"></span> </div>
<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="comment">Redistributions of source code must retain the above copyright notice, this list of</span></div>
<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="comment">conditions and the following disclaimer. Redistributions in binary form must reproduce</span></div>
<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="comment">the above copyright notice, this list of conditions and the following disclaimer</span></div>
<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="comment">in the documentation and/or other materials provided with the distribution. </span></div>
<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="comment"></span> </div>
<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="comment">Neither the name of the Johns Hopkins University nor the names of its contributors</span></div>
<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="comment">may be used to endorse or promote products derived from this software without specific</span></div>
<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="comment">prior written permission. </span></div>
<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="comment"></span> </div>
<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="comment">THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS &quot;AS IS&quot; AND ANY</span></div>
<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="comment">EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO THE IMPLIED WARRANTIES </span></div>
<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;<span class="comment">OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT</span></div>
<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;<span class="comment">SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,</span></div>
<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;<span class="comment">INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED</span></div>
<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;<span class="comment">TO, PROCUREMENT OF SUBSTITUTE  GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR</span></div>
<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;<span class="comment">BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN</span></div>
<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;<span class="comment">CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN</span></div>
<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;<span class="comment">ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH</span></div>
<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;<span class="comment">DAMAGE.</span></div>
<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;<span class="comment">*/</span></div>
<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160; </div>
<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160; </div>
<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;<span class="keyword">namespace </span>pcl</div>
<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;{</div>
<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;  <span class="keyword">namespace </span>poisson</div>
<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;  {</div>
<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160; </div>
<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;    <span class="comment">// BSplineData //</span></div>
<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;<span class="comment"></span>    <span class="comment">// Support[i]:</span></div>
<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;    <span class="comment">//      Odd:  i +/- 0.5 * ( 1 + Degree )</span></div>
<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;    <span class="comment">//          i - 0.5 * ( 1 + Degree ) &lt; 0</span></div>
<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;    <span class="comment">// &lt;=&gt;      i &lt; 0.5 * ( 1 + Degree )</span></div>
<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;    <span class="comment">//          i + 0.5 * ( 1 + Degree ) &gt; 0</span></div>
<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;    <span class="comment">// &lt;=&gt;      i &gt; - 0.5 * ( 1 + Degree )</span></div>
<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;    <span class="comment">//          i + 0.5 * ( 1 + Degree ) &gt; r</span></div>
<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;    <span class="comment">// &lt;=&gt;      i &gt; r - 0.5 * ( 1 + Degree )</span></div>
<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;    <span class="comment">//          i - 0.5 * ( 1 + Degree ) &lt; r</span></div>
<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;    <span class="comment">// &lt;=&gt;      i &lt; r + 0.5 * ( 1 + Degree )</span></div>
<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;    <span class="comment">//      Even: i + 0.5 +/- 0.5 * ( 1 + Degree )</span></div>
<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;    <span class="comment">//          i - 0.5 * Degree &lt; 0</span></div>
<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;    <span class="comment">// &lt;=&gt;      i &lt; 0.5 * Degree</span></div>
<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;    <span class="comment">//          i + 1 + 0.5 * Degree &gt; 0</span></div>
<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;    <span class="comment">// &lt;=&gt;      i &gt; -1 - 0.5 * Degree</span></div>
<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;    <span class="comment">//          i + 1 + 0.5 * Degree &gt; r</span></div>
<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;    <span class="comment">// &lt;=&gt;      i &gt; r - 1 - 0.5 * Degree</span></div>
<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;    <span class="comment">//          i - 0.5 * Degree &lt; r</span></div>
<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;    <span class="comment">// &lt;=&gt;      i &lt; r + 0.5 * Degree</span></div>
<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;    <span class="keyword">template</span>&lt; <span class="keywordtype">int</span> Degree &gt; <span class="keyword">inline</span> <span class="keywordtype">bool</span> LeftOverlap( <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> depth , <span class="keywordtype">int</span> offset )</div>
<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;    {</div>
<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;      offset &lt;&lt;= 1;</div>
<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;      <span class="keywordflow">if</span>( Degree &amp; 1 ) <span class="keywordflow">return</span> (offset &lt; 1+Degree) &amp;&amp; (offset &gt; -1-Degree );</div>
<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;      <span class="keywordflow">else</span>             <span class="keywordflow">return</span> (offset &lt;   Degree) &amp;&amp; (offset &gt; -2-Degree );</div>
<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;    }</div>
<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;    <span class="keyword">template</span>&lt; <span class="keywordtype">int</span> Degree &gt; <span class="keyword">inline</span> <span class="keywordtype">bool</span> RightOverlap( <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> depth , <span class="keywordtype">int</span> offset )</div>
<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;    {</div>
<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;      offset &lt;&lt;= 1;</div>
<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;      <span class="keywordtype">int</span> r = 1&lt;&lt;(depth+1);</div>
<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;      <span class="keywordflow">if</span>( Degree &amp; 1 ) <span class="keywordflow">return</span> (offset &gt; 2-1-Degree) &amp;&amp; (offset &lt; 2+1+Degree );</div>
<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;      <span class="keywordflow">else</span>             <span class="keywordflow">return</span> (offset &gt; 2-2-Degree) &amp;&amp; (offset &lt; 2+  Degree );</div>
<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;    }</div>
<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;    <span class="keyword">template</span>&lt; <span class="keywordtype">int</span> Degree &gt; <span class="keyword">inline</span> <span class="keywordtype">int</span> ReflectLeft( <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> depth , <span class="keywordtype">int</span> offset )</div>
<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;    {</div>
<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;      <span class="keywordflow">if</span>( Degree&amp;1 ) <span class="keywordflow">return</span>   -offset;</div>
<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;      <span class="keywordflow">else</span>           <span class="keywordflow">return</span> -1-offset;</div>
<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;    }</div>
<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;    <span class="keyword">template</span>&lt; <span class="keywordtype">int</span> Degree &gt; <span class="keyword">inline</span> <span class="keywordtype">int</span> ReflectRight( <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> depth , <span class="keywordtype">int</span> offset )</div>
<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;    {</div>
<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;      <span class="keywordtype">int</span> r = 1&lt;&lt;(depth+1);</div>
<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;      <span class="keywordflow">if</span>( Degree&amp;1 ) <span class="keywordflow">return</span> r  -offset;</div>
<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;      <span class="keywordflow">else</span>           <span class="keywordflow">return</span> r-1-offset;</div>
<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;    }</div>
<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160; </div>
<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;    <span class="keyword">template</span>&lt; <span class="keywordtype">int</span> Degree , <span class="keyword">class</span> Real &gt;</div>
<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;    BSplineData&lt;Degree,Real&gt;::BSplineData( <span class="keywordtype">void</span> )</div>
<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;    {</div>
<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;      vvDotTable = dvDotTable = ddDotTable = NULL;</div>
<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;      valueTables = dValueTables = NULL;</div>
<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;      functionCount = sampleCount = 0;</div>
<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;    }</div>
<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160; </div>
<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;    <span class="keyword">template</span>&lt; <span class="keywordtype">int</span> Degree , <span class="keyword">class</span> Real &gt;</div>
<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;    BSplineData&lt; Degree , Real &gt;::~BSplineData(<span class="keywordtype">void</span>)</div>
<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;    {</div>
<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;      <span class="keywordflow">if</span>( functionCount )</div>
<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;      {</div>
<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;        <span class="keywordflow">if</span>( vvDotTable ) <span class="keyword">delete</span>[] vvDotTable;</div>
<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;        <span class="keywordflow">if</span>( dvDotTable ) <span class="keyword">delete</span>[] dvDotTable;</div>
<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;        <span class="keywordflow">if</span>( ddDotTable ) <span class="keyword">delete</span>[] ddDotTable;</div>
<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160; </div>
<div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;        <span class="keywordflow">if</span>(  valueTables ) <span class="keyword">delete</span>[]  valueTables;</div>
<div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;        <span class="keywordflow">if</span>( dValueTables ) <span class="keyword">delete</span>[] dValueTables;</div>
<div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;      }</div>
<div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;      vvDotTable = dvDotTable = ddDotTable = NULL;</div>
<div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;      valueTables = dValueTables=NULL;</div>
<div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160;      functionCount = 0;</div>
<div class="line"><a name="l00105"></a><span class="lineno">  105</span>&#160;    }</div>
<div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160; </div>
<div class="line"><a name="l00107"></a><span class="lineno">  107</span>&#160;    <span class="keyword">template</span>&lt;<span class="keywordtype">int</span> Degree,<span class="keyword">class</span> Real&gt;</div>
<div class="line"><a name="l00108"></a><span class="lineno">  108</span>&#160;    <span class="keywordtype">void</span> BSplineData&lt;Degree,Real&gt;::set( <span class="keywordtype">int</span> maxDepth , <span class="keywordtype">bool</span> useDotRatios , <span class="keywordtype">bool</span> reflectBoundary )</div>
<div class="line"><a name="l00109"></a><span class="lineno">  109</span>&#160;    {</div>
<div class="line"><a name="l00110"></a><span class="lineno">  110</span>&#160;      this-&gt;useDotRatios    = useDotRatios;</div>
<div class="line"><a name="l00111"></a><span class="lineno">  111</span>&#160;      this-&gt;reflectBoundary = reflectBoundary;</div>
<div class="line"><a name="l00112"></a><span class="lineno">  112</span>&#160; </div>
<div class="line"><a name="l00113"></a><span class="lineno">  113</span>&#160;      depth = maxDepth;</div>
<div class="line"><a name="l00114"></a><span class="lineno">  114</span>&#160;      <span class="comment">// [Warning] This assumes that the functions spacing is dual</span></div>
<div class="line"><a name="l00115"></a><span class="lineno">  115</span>&#160;      functionCount = BinaryNode&lt; double &gt;::CumulativeCenterCount( depth );</div>
<div class="line"><a name="l00116"></a><span class="lineno">  116</span>&#160;      sampleCount   = BinaryNode&lt; double &gt;::CenterCount( depth ) + BinaryNode&lt; double &gt;::CornerCount( depth );</div>
<div class="line"><a name="l00117"></a><span class="lineno">  117</span>&#160;      baseFunctions = <span class="keyword">new</span> PPolynomial&lt;Degree&gt;[functionCount];</div>
<div class="line"><a name="l00118"></a><span class="lineno">  118</span>&#160;      baseBSplines = <span class="keyword">new</span> BSplineComponents[functionCount];</div>
<div class="line"><a name="l00119"></a><span class="lineno">  119</span>&#160; </div>
<div class="line"><a name="l00120"></a><span class="lineno">  120</span>&#160;      baseFunction = PPolynomial&lt; Degree &gt;::BSpline();</div>
<div class="line"><a name="l00121"></a><span class="lineno">  121</span>&#160;      <span class="keywordflow">for</span>( <span class="keywordtype">int</span> i=0 ; i&lt;=Degree ; i++ ) baseBSpline[i] = Polynomial&lt; Degree &gt;::BSplineComponent( i ).shift( <span class="keywordtype">double</span>(-(Degree+1)/2) + i - 0.5 );</div>
<div class="line"><a name="l00122"></a><span class="lineno">  122</span>&#160;      dBaseFunction = baseFunction.derivative();</div>
<div class="line"><a name="l00123"></a><span class="lineno">  123</span>&#160;      StartingPolynomial&lt; Degree &gt; sPolys[Degree+3];</div>
<div class="line"><a name="l00124"></a><span class="lineno">  124</span>&#160; </div>
<div class="line"><a name="l00125"></a><span class="lineno">  125</span>&#160;      <span class="keywordflow">for</span>( <span class="keywordtype">int</span> i=0 ; i&lt;Degree+3 ; i++ )</div>
<div class="line"><a name="l00126"></a><span class="lineno">  126</span>&#160;      {</div>
<div class="line"><a name="l00127"></a><span class="lineno">  127</span>&#160;        sPolys[i].start = double(-(Degree+1)/2) + i - 1.5;</div>
<div class="line"><a name="l00128"></a><span class="lineno">  128</span>&#160;        sPolys[i].p *= 0;</div>
<div class="line"><a name="l00129"></a><span class="lineno">  129</span>&#160;        <span class="keywordflow">if</span>(         i&lt;=Degree   )  sPolys[i].p += baseBSpline[i  ].shift( -1 );</div>
<div class="line"><a name="l00130"></a><span class="lineno">  130</span>&#160;        <span class="keywordflow">if</span>( i&gt;=1 &amp;&amp; i&lt;=Degree+1 )  sPolys[i].p += baseBSpline[i-1];</div>
<div class="line"><a name="l00131"></a><span class="lineno">  131</span>&#160;        <span class="keywordflow">for</span>( <span class="keywordtype">int</span> j=0 ; j&lt;i ; j++ ) sPolys[i].p -= sPolys[j].p;</div>
<div class="line"><a name="l00132"></a><span class="lineno">  132</span>&#160;      }</div>
<div class="line"><a name="l00133"></a><span class="lineno">  133</span>&#160;      leftBaseFunction.set( sPolys , Degree+3 );</div>
<div class="line"><a name="l00134"></a><span class="lineno">  134</span>&#160;      <span class="keywordflow">for</span>( <span class="keywordtype">int</span> i=0 ; i&lt;Degree+3 ; i++ )</div>
<div class="line"><a name="l00135"></a><span class="lineno">  135</span>&#160;      {</div>
<div class="line"><a name="l00136"></a><span class="lineno">  136</span>&#160;        sPolys[i].start = double(-(Degree+1)/2) + i - 0.5;</div>
<div class="line"><a name="l00137"></a><span class="lineno">  137</span>&#160;        sPolys[i].p *= 0;</div>
<div class="line"><a name="l00138"></a><span class="lineno">  138</span>&#160;        <span class="keywordflow">if</span>(         i&lt;=Degree   )  sPolys[i].p += baseBSpline[i  ];</div>
<div class="line"><a name="l00139"></a><span class="lineno">  139</span>&#160;        <span class="keywordflow">if</span>( i&gt;=1 &amp;&amp; i&lt;=Degree+1 )  sPolys[i].p += baseBSpline[i-1].shift( 1 );</div>
<div class="line"><a name="l00140"></a><span class="lineno">  140</span>&#160;        <span class="keywordflow">for</span>( <span class="keywordtype">int</span> j=0 ; j&lt;i ; j++ ) sPolys[i].p -= sPolys[j].p;</div>
<div class="line"><a name="l00141"></a><span class="lineno">  141</span>&#160;      }</div>
<div class="line"><a name="l00142"></a><span class="lineno">  142</span>&#160;      rightBaseFunction.set( sPolys , Degree+3 );</div>
<div class="line"><a name="l00143"></a><span class="lineno">  143</span>&#160;      dLeftBaseFunction  =  leftBaseFunction.derivative();</div>
<div class="line"><a name="l00144"></a><span class="lineno">  144</span>&#160;      dRightBaseFunction = rightBaseFunction.derivative();</div>
<div class="line"><a name="l00145"></a><span class="lineno">  145</span>&#160;      leftBSpline = rightBSpline = baseBSpline;</div>
<div class="line"><a name="l00146"></a><span class="lineno">  146</span>&#160;      leftBSpline [1] +=  leftBSpline[2].shift( -1 ) ,  leftBSpline[0] *= 0;</div>
<div class="line"><a name="l00147"></a><span class="lineno">  147</span>&#160;      rightBSpline[1] += rightBSpline[0].shift(  1 ) , rightBSpline[2] *= 0;</div>
<div class="line"><a name="l00148"></a><span class="lineno">  148</span>&#160;      <span class="keywordtype">double</span> c , w;</div>
<div class="line"><a name="l00149"></a><span class="lineno">  149</span>&#160;      <span class="keywordflow">for</span>( <span class="keywordtype">int</span> i=0 ; i&lt;functionCount ; i++ )</div>
<div class="line"><a name="l00150"></a><span class="lineno">  150</span>&#160;      {</div>
<div class="line"><a name="l00151"></a><span class="lineno">  151</span>&#160;        BinaryNode&lt; double &gt;::CenterAndWidth( i , c , w );</div>
<div class="line"><a name="l00152"></a><span class="lineno">  152</span>&#160;        baseFunctions[i] = baseFunction.scale(w).shift(c);</div>
<div class="line"><a name="l00153"></a><span class="lineno">  153</span>&#160;        baseBSplines[i] = baseBSpline.scale(w).shift(c);</div>
<div class="line"><a name="l00154"></a><span class="lineno">  154</span>&#160;        <span class="keywordflow">if</span>( reflectBoundary )</div>
<div class="line"><a name="l00155"></a><span class="lineno">  155</span>&#160;        {</div>
<div class="line"><a name="l00156"></a><span class="lineno">  156</span>&#160;          <span class="keywordtype">int</span> d , off , r;</div>
<div class="line"><a name="l00157"></a><span class="lineno">  157</span>&#160;          BinaryNode&lt; double &gt;::DepthAndOffset( i , d , off );</div>
<div class="line"><a name="l00158"></a><span class="lineno">  158</span>&#160;          r = 1&lt;&lt;d;</div>
<div class="line"><a name="l00159"></a><span class="lineno">  159</span>&#160;          <span class="keywordflow">if</span>     ( off==0   ) baseFunctions[i] =  leftBaseFunction.scale(w).shift(c);</div>
<div class="line"><a name="l00160"></a><span class="lineno">  160</span>&#160;          <span class="keywordflow">else</span> <span class="keywordflow">if</span>( off==r-1 ) baseFunctions[i] = rightBaseFunction.scale(w).shift(c);</div>
<div class="line"><a name="l00161"></a><span class="lineno">  161</span>&#160;          <span class="keywordflow">if</span>     ( off==0   ) baseBSplines[i] =  leftBSpline.scale(w).shift(c);</div>
<div class="line"><a name="l00162"></a><span class="lineno">  162</span>&#160;          <span class="keywordflow">else</span> <span class="keywordflow">if</span>( off==r-1 ) baseBSplines[i] = rightBSpline.scale(w).shift(c);</div>
<div class="line"><a name="l00163"></a><span class="lineno">  163</span>&#160;        }</div>
<div class="line"><a name="l00164"></a><span class="lineno">  164</span>&#160;      }</div>
<div class="line"><a name="l00165"></a><span class="lineno">  165</span>&#160;    }</div>
<div class="line"><a name="l00166"></a><span class="lineno">  166</span>&#160;    <span class="keyword">template</span>&lt;<span class="keywordtype">int</span> Degree,<span class="keyword">class</span> Real&gt;</div>
<div class="line"><a name="l00167"></a><span class="lineno">  167</span>&#160;    <span class="keywordtype">void</span> BSplineData&lt;Degree,Real&gt;::setDotTables( <span class="keywordtype">int</span> flags )</div>
<div class="line"><a name="l00168"></a><span class="lineno">  168</span>&#160;    {</div>
<div class="line"><a name="l00169"></a><span class="lineno">  169</span>&#160;      clearDotTables( flags );</div>
<div class="line"><a name="l00170"></a><span class="lineno">  170</span>&#160;      <span class="keywordtype">int</span> size = ( functionCount*functionCount + functionCount )&gt;&gt;1;</div>
<div class="line"><a name="l00171"></a><span class="lineno">  171</span>&#160;      <span class="keywordtype">int</span> fullSize = functionCount*functionCount;</div>
<div class="line"><a name="l00172"></a><span class="lineno">  172</span>&#160;      <span class="keywordflow">if</span>( flags &amp; VV_DOT_FLAG )</div>
<div class="line"><a name="l00173"></a><span class="lineno">  173</span>&#160;      {</div>
<div class="line"><a name="l00174"></a><span class="lineno">  174</span>&#160;        vvDotTable = <span class="keyword">new</span> Real[size];</div>
<div class="line"><a name="l00175"></a><span class="lineno">  175</span>&#160;        memset( vvDotTable , 0 , <span class="keyword">sizeof</span>(Real)*size );</div>
<div class="line"><a name="l00176"></a><span class="lineno">  176</span>&#160;      }</div>
<div class="line"><a name="l00177"></a><span class="lineno">  177</span>&#160;      <span class="keywordflow">if</span>( flags &amp; DV_DOT_FLAG )</div>
<div class="line"><a name="l00178"></a><span class="lineno">  178</span>&#160;      {</div>
<div class="line"><a name="l00179"></a><span class="lineno">  179</span>&#160;        dvDotTable = <span class="keyword">new</span> Real[fullSize];</div>
<div class="line"><a name="l00180"></a><span class="lineno">  180</span>&#160;        memset( dvDotTable , 0 , <span class="keyword">sizeof</span>(Real)*fullSize );</div>
<div class="line"><a name="l00181"></a><span class="lineno">  181</span>&#160;      }</div>
<div class="line"><a name="l00182"></a><span class="lineno">  182</span>&#160;      <span class="keywordflow">if</span>( flags &amp; DD_DOT_FLAG )</div>
<div class="line"><a name="l00183"></a><span class="lineno">  183</span>&#160;      {</div>
<div class="line"><a name="l00184"></a><span class="lineno">  184</span>&#160;        ddDotTable = <span class="keyword">new</span> Real[size];</div>
<div class="line"><a name="l00185"></a><span class="lineno">  185</span>&#160;        memset( ddDotTable , 0 , <span class="keyword">sizeof</span>(Real)*size );</div>
<div class="line"><a name="l00186"></a><span class="lineno">  186</span>&#160;      }</div>
<div class="line"><a name="l00187"></a><span class="lineno">  187</span>&#160;      <span class="keywordtype">double</span> vvIntegrals[Degree+1][Degree+1];</div>
<div class="line"><a name="l00188"></a><span class="lineno">  188</span>&#160;      <span class="keywordtype">double</span> vdIntegrals[Degree+1][Degree  ];</div>
<div class="line"><a name="l00189"></a><span class="lineno">  189</span>&#160;      <span class="keywordtype">double</span> dvIntegrals[Degree  ][Degree+1];</div>
<div class="line"><a name="l00190"></a><span class="lineno">  190</span>&#160;      <span class="keywordtype">double</span> ddIntegrals[Degree  ][Degree  ];</div>
<div class="line"><a name="l00191"></a><span class="lineno">  191</span>&#160;      <span class="keywordtype">int</span> vvSums[Degree+1][Degree+1];</div>
<div class="line"><a name="l00192"></a><span class="lineno">  192</span>&#160;      <span class="keywordtype">int</span> vdSums[Degree+1][Degree  ];</div>
<div class="line"><a name="l00193"></a><span class="lineno">  193</span>&#160;      <span class="keywordtype">int</span> dvSums[Degree  ][Degree+1];</div>
<div class="line"><a name="l00194"></a><span class="lineno">  194</span>&#160;      <span class="keywordtype">int</span> ddSums[Degree  ][Degree  ];</div>
<div class="line"><a name="l00195"></a><span class="lineno">  195</span>&#160;      SetBSplineElementIntegrals&lt; Degree   , Degree   &gt;( vvIntegrals );</div>
<div class="line"><a name="l00196"></a><span class="lineno">  196</span>&#160;      SetBSplineElementIntegrals&lt; Degree   , Degree-1 &gt;( vdIntegrals );</div>
<div class="line"><a name="l00197"></a><span class="lineno">  197</span>&#160;      SetBSplineElementIntegrals&lt; Degree-1 , Degree   &gt;( dvIntegrals );</div>
<div class="line"><a name="l00198"></a><span class="lineno">  198</span>&#160;      SetBSplineElementIntegrals&lt; Degree-1 , Degree-1 &gt;( ddIntegrals );</div>
<div class="line"><a name="l00199"></a><span class="lineno">  199</span>&#160; </div>
<div class="line"><a name="l00200"></a><span class="lineno">  200</span>&#160;      <span class="keywordflow">for</span>( <span class="keywordtype">int</span> d1=0 ; d1&lt;=depth ; d1++ )</div>
<div class="line"><a name="l00201"></a><span class="lineno">  201</span>&#160;        <span class="keywordflow">for</span>( <span class="keywordtype">int</span> off1=0 ; off1&lt;(1&lt;&lt;d1) ; off1++ )</div>
<div class="line"><a name="l00202"></a><span class="lineno">  202</span>&#160;        {</div>
<div class="line"><a name="l00203"></a><span class="lineno">  203</span>&#160;          <span class="keywordtype">int</span> ii = BinaryNode&lt; Real &gt;::CenterIndex( d1 , off1 );</div>
<div class="line"><a name="l00204"></a><span class="lineno">  204</span>&#160;          BSplineElements&lt; Degree &gt; b1( 1&lt;&lt;d1 , off1 , reflectBoundary ? BSplineElements&lt;Degree&gt;::NEUMANN   : BSplineElements&lt; Degree&gt;::NONE );</div>
<div class="line"><a name="l00205"></a><span class="lineno">  205</span>&#160;          BSplineElements&lt; Degree-1 &gt; db1;</div>
<div class="line"><a name="l00206"></a><span class="lineno">  206</span>&#160;          b1.differentiate( db1 );</div>
<div class="line"><a name="l00207"></a><span class="lineno">  207</span>&#160; </div>
<div class="line"><a name="l00208"></a><span class="lineno">  208</span>&#160;          <span class="keywordtype">int</span> start1 , end1;</div>
<div class="line"><a name="l00209"></a><span class="lineno">  209</span>&#160; </div>
<div class="line"><a name="l00210"></a><span class="lineno">  210</span>&#160;          start1 = -1;</div>
<div class="line"><a name="l00211"></a><span class="lineno">  211</span>&#160;          <span class="keywordflow">for</span>( <span class="keywordtype">int</span> i=0 ; i&lt;int(b1.size()) ; i++ ) <span class="keywordflow">for</span>( <span class="keywordtype">int</span> j=0 ; j&lt;=Degree ; j++ )</div>
<div class="line"><a name="l00212"></a><span class="lineno">  212</span>&#160;          {</div>
<div class="line"><a name="l00213"></a><span class="lineno">  213</span>&#160;            <span class="keywordflow">if</span>( b1[i][j] &amp;&amp; start1==-1 ) start1 = i;</div>
<div class="line"><a name="l00214"></a><span class="lineno">  214</span>&#160;            <span class="keywordflow">if</span>( b1[i][j] ) end1 = i+1;</div>
<div class="line"><a name="l00215"></a><span class="lineno">  215</span>&#160;          }</div>
<div class="line"><a name="l00216"></a><span class="lineno">  216</span>&#160;          <span class="keywordflow">for</span>( <span class="keywordtype">int</span> d2=d1 ; d2&lt;=depth ; d2++ )</div>
<div class="line"><a name="l00217"></a><span class="lineno">  217</span>&#160;          {</div>
<div class="line"><a name="l00218"></a><span class="lineno">  218</span>&#160;            <span class="keywordflow">for</span>( <span class="keywordtype">int</span> off2=0 ; off2&lt;(1&lt;&lt;d2) ; off2++ )</div>
<div class="line"><a name="l00219"></a><span class="lineno">  219</span>&#160;            {</div>
<div class="line"><a name="l00220"></a><span class="lineno">  220</span>&#160;              <span class="keywordtype">int</span> start2 = off2-Degree;</div>
<div class="line"><a name="l00221"></a><span class="lineno">  221</span>&#160;              <span class="keywordtype">int</span> end2   = off2+Degree+1;</div>
<div class="line"><a name="l00222"></a><span class="lineno">  222</span>&#160;              <span class="keywordflow">if</span>( start2&gt;=end1 || start1&gt;=end2 ) <span class="keywordflow">continue</span>;</div>
<div class="line"><a name="l00223"></a><span class="lineno">  223</span>&#160;              start2 = std::max&lt; int &gt;( start1 , start2 );</div>
<div class="line"><a name="l00224"></a><span class="lineno">  224</span>&#160;              end2   = std::min&lt; int &gt;(   end1 ,   end2 );</div>
<div class="line"><a name="l00225"></a><span class="lineno">  225</span>&#160;              <span class="keywordflow">if</span>( d1==d2 &amp;&amp; off2&lt;off1 ) <span class="keywordflow">continue</span>;</div>
<div class="line"><a name="l00226"></a><span class="lineno">  226</span>&#160;              <span class="keywordtype">int</span> jj = BinaryNode&lt; Real &gt;::CenterIndex( d2 , off2 );</div>
<div class="line"><a name="l00227"></a><span class="lineno">  227</span>&#160;              BSplineElements&lt; Degree &gt; b2( 1&lt;&lt;d2 , off2 , reflectBoundary ? BSplineElements&lt;Degree&gt;::NEUMANN   : BSplineElements&lt; Degree&gt;::NONE );</div>
<div class="line"><a name="l00228"></a><span class="lineno">  228</span>&#160;              BSplineElements&lt; Degree-1 &gt; db2;</div>
<div class="line"><a name="l00229"></a><span class="lineno">  229</span>&#160;              b2.differentiate( db2 );</div>
<div class="line"><a name="l00230"></a><span class="lineno">  230</span>&#160; </div>
<div class="line"><a name="l00231"></a><span class="lineno">  231</span>&#160;              <span class="keywordtype">int</span> idx = SymmetricIndex( ii , jj );</div>
<div class="line"><a name="l00232"></a><span class="lineno">  232</span>&#160;              <span class="keywordtype">int</span> idx1 = Index( ii , jj ) , idx2 = Index( jj , ii );</div>
<div class="line"><a name="l00233"></a><span class="lineno">  233</span>&#160; </div>
<div class="line"><a name="l00234"></a><span class="lineno">  234</span>&#160;              memset( vvSums , 0 , <span class="keyword">sizeof</span>( <span class="keywordtype">int</span> ) * ( Degree+1 ) * ( Degree+1 ) );</div>
<div class="line"><a name="l00235"></a><span class="lineno">  235</span>&#160;              memset( vdSums , 0 , <span class="keyword">sizeof</span>( <span class="keywordtype">int</span> ) * ( Degree+1 ) * ( Degree   ) );</div>
<div class="line"><a name="l00236"></a><span class="lineno">  236</span>&#160;              memset( dvSums , 0 , <span class="keyword">sizeof</span>( <span class="keywordtype">int</span> ) * ( Degree   ) * ( Degree+1 ) );</div>
<div class="line"><a name="l00237"></a><span class="lineno">  237</span>&#160;              memset( ddSums , 0 , <span class="keyword">sizeof</span>( <span class="keywordtype">int</span> ) * ( Degree   ) * ( Degree   ) );</div>
<div class="line"><a name="l00238"></a><span class="lineno">  238</span>&#160;              <span class="keywordflow">for</span>( <span class="keywordtype">int</span> i=start2 ; i&lt;end2 ; i++ )</div>
<div class="line"><a name="l00239"></a><span class="lineno">  239</span>&#160;              {</div>
<div class="line"><a name="l00240"></a><span class="lineno">  240</span>&#160;                <span class="keywordflow">for</span>( <span class="keywordtype">int</span> j=0 ; j&lt;=Degree ; j++ ) <span class="keywordflow">for</span>( <span class="keywordtype">int</span> k=0 ; k&lt;=Degree ; k++ ) vvSums[j][k] +=  b1[i][j] *  b2[i][k];</div>
<div class="line"><a name="l00241"></a><span class="lineno">  241</span>&#160;                <span class="keywordflow">for</span>( <span class="keywordtype">int</span> j=0 ; j&lt;=Degree ; j++ ) <span class="keywordflow">for</span>( <span class="keywordtype">int</span> k=0 ; k&lt; Degree ; k++ ) vdSums[j][k] +=  b1[i][j] * db2[i][k];</div>
<div class="line"><a name="l00242"></a><span class="lineno">  242</span>&#160;                <span class="keywordflow">for</span>( <span class="keywordtype">int</span> j=0 ; j&lt; Degree ; j++ ) <span class="keywordflow">for</span>( <span class="keywordtype">int</span> k=0 ; k&lt;=Degree ; k++ ) dvSums[j][k] += db1[i][j] *  b2[i][k];</div>
<div class="line"><a name="l00243"></a><span class="lineno">  243</span>&#160;                <span class="keywordflow">for</span>( <span class="keywordtype">int</span> j=0 ; j&lt; Degree ; j++ ) <span class="keywordflow">for</span>( <span class="keywordtype">int</span> k=0 ; k&lt; Degree ; k++ ) ddSums[j][k] += db1[i][j] * db2[i][k];</div>
<div class="line"><a name="l00244"></a><span class="lineno">  244</span>&#160;              }</div>
<div class="line"><a name="l00245"></a><span class="lineno">  245</span>&#160;              <span class="keywordtype">double</span> vvDot = 0 , dvDot = 0 , vdDot = 0 , ddDot = 0;</div>
<div class="line"><a name="l00246"></a><span class="lineno">  246</span>&#160;              <span class="keywordflow">for</span>( <span class="keywordtype">int</span> j=0 ; j&lt;=Degree ; j++ ) <span class="keywordflow">for</span>( <span class="keywordtype">int</span> k=0 ; k&lt;=Degree ; k++ ) vvDot += vvIntegrals[j][k] * vvSums[j][k];</div>
<div class="line"><a name="l00247"></a><span class="lineno">  247</span>&#160;              <span class="keywordflow">for</span>( <span class="keywordtype">int</span> j=0 ; j&lt;=Degree ; j++ ) <span class="keywordflow">for</span>( <span class="keywordtype">int</span> k=0 ; k&lt; Degree ; k++ ) vdDot += vdIntegrals[j][k] * vdSums[j][k];</div>
<div class="line"><a name="l00248"></a><span class="lineno">  248</span>&#160;              <span class="keywordflow">for</span>( <span class="keywordtype">int</span> j=0 ; j&lt; Degree ; j++ ) <span class="keywordflow">for</span>( <span class="keywordtype">int</span> k=0 ; k&lt;=Degree ; k++ ) dvDot += dvIntegrals[j][k] * dvSums[j][k];</div>
<div class="line"><a name="l00249"></a><span class="lineno">  249</span>&#160;              <span class="keywordflow">for</span>( <span class="keywordtype">int</span> j=0 ; j&lt; Degree ; j++ ) <span class="keywordflow">for</span>( <span class="keywordtype">int</span> k=0 ; k&lt; Degree ; k++ ) ddDot += ddIntegrals[j][k] * ddSums[j][k];</div>
<div class="line"><a name="l00250"></a><span class="lineno">  250</span>&#160;              vvDot /= (1&lt;&lt;d2);</div>
<div class="line"><a name="l00251"></a><span class="lineno">  251</span>&#160;              ddDot *= (1&lt;&lt;d2);</div>
<div class="line"><a name="l00252"></a><span class="lineno">  252</span>&#160;              vvDot /= ( b1.denominator * b2.denominator );</div>
<div class="line"><a name="l00253"></a><span class="lineno">  253</span>&#160;              dvDot /= ( b1.denominator * b2.denominator );</div>
<div class="line"><a name="l00254"></a><span class="lineno">  254</span>&#160;              vdDot /= ( b1.denominator * b2.denominator );</div>
<div class="line"><a name="l00255"></a><span class="lineno">  255</span>&#160;              ddDot /= ( b1.denominator * b2.denominator );</div>
<div class="line"><a name="l00256"></a><span class="lineno">  256</span>&#160;              <span class="keywordflow">if</span>( fabs(vvDot)&lt;1e-15 ) <span class="keywordflow">continue</span>;</div>
<div class="line"><a name="l00257"></a><span class="lineno">  257</span>&#160;              <span class="keywordflow">if</span>( flags &amp; VV_DOT_FLAG ) vvDotTable [idx] = Real( vvDot );</div>
<div class="line"><a name="l00258"></a><span class="lineno">  258</span>&#160;              <span class="keywordflow">if</span>( useDotRatios )</div>
<div class="line"><a name="l00259"></a><span class="lineno">  259</span>&#160;              {</div>
<div class="line"><a name="l00260"></a><span class="lineno">  260</span>&#160;                <span class="keywordflow">if</span>( flags &amp; DV_DOT_FLAG ) dvDotTable[idx1] = Real( dvDot / vvDot );</div>
<div class="line"><a name="l00261"></a><span class="lineno">  261</span>&#160;                <span class="keywordflow">if</span>( flags &amp; DV_DOT_FLAG ) dvDotTable[idx2] = Real( vdDot / vvDot );</div>
<div class="line"><a name="l00262"></a><span class="lineno">  262</span>&#160;                <span class="keywordflow">if</span>( flags &amp; DD_DOT_FLAG ) ddDotTable[idx ] = Real( ddDot / vvDot );</div>
<div class="line"><a name="l00263"></a><span class="lineno">  263</span>&#160;              }</div>
<div class="line"><a name="l00264"></a><span class="lineno">  264</span>&#160;              <span class="keywordflow">else</span></div>
<div class="line"><a name="l00265"></a><span class="lineno">  265</span>&#160;              {</div>
<div class="line"><a name="l00266"></a><span class="lineno">  266</span>&#160;                <span class="keywordflow">if</span>( flags &amp; DV_DOT_FLAG ) dvDotTable[idx1] = Real( dvDot );</div>
<div class="line"><a name="l00267"></a><span class="lineno">  267</span>&#160;                <span class="keywordflow">if</span>( flags &amp; DV_DOT_FLAG ) dvDotTable[idx2] = Real( dvDot );</div>
<div class="line"><a name="l00268"></a><span class="lineno">  268</span>&#160;                <span class="keywordflow">if</span>( flags &amp; DD_DOT_FLAG ) ddDotTable[idx ] = Real( ddDot );</div>
<div class="line"><a name="l00269"></a><span class="lineno">  269</span>&#160;              }</div>
<div class="line"><a name="l00270"></a><span class="lineno">  270</span>&#160;            }</div>
<div class="line"><a name="l00271"></a><span class="lineno">  271</span>&#160;            BSplineElements&lt; Degree &gt; b;</div>
<div class="line"><a name="l00272"></a><span class="lineno">  272</span>&#160;            b = b1;</div>
<div class="line"><a name="l00273"></a><span class="lineno">  273</span>&#160;            b.upSample( b1 );</div>
<div class="line"><a name="l00274"></a><span class="lineno">  274</span>&#160;            b1.differentiate( db1 );</div>
<div class="line"><a name="l00275"></a><span class="lineno">  275</span>&#160;            start1 = -1;</div>
<div class="line"><a name="l00276"></a><span class="lineno">  276</span>&#160;            <span class="keywordflow">for</span>( <span class="keywordtype">int</span> i=0 ; i&lt;int(b1.size()) ; i++ ) <span class="keywordflow">for</span>( <span class="keywordtype">int</span> j=0 ; j&lt;=Degree ; j++ )</div>
<div class="line"><a name="l00277"></a><span class="lineno">  277</span>&#160;            {</div>
<div class="line"><a name="l00278"></a><span class="lineno">  278</span>&#160;              <span class="keywordflow">if</span>( b1[i][j] &amp;&amp; start1==-1 ) start1 = i;</div>
<div class="line"><a name="l00279"></a><span class="lineno">  279</span>&#160;              <span class="keywordflow">if</span>( b1[i][j] ) end1 = i+1;</div>
<div class="line"><a name="l00280"></a><span class="lineno">  280</span>&#160;            }</div>
<div class="line"><a name="l00281"></a><span class="lineno">  281</span>&#160;          }</div>
<div class="line"><a name="l00282"></a><span class="lineno">  282</span>&#160;        }</div>
<div class="line"><a name="l00283"></a><span class="lineno">  283</span>&#160;    }</div>
<div class="line"><a name="l00284"></a><span class="lineno">  284</span>&#160;    <span class="keyword">template</span>&lt;<span class="keywordtype">int</span> Degree,<span class="keyword">class</span> Real&gt;</div>
<div class="line"><a name="l00285"></a><span class="lineno">  285</span>&#160;    <span class="keywordtype">void</span> BSplineData&lt;Degree,Real&gt;::clearDotTables( <span class="keywordtype">int</span> flags )</div>
<div class="line"><a name="l00286"></a><span class="lineno">  286</span>&#160;    {</div>
<div class="line"><a name="l00287"></a><span class="lineno">  287</span>&#160;      <span class="keywordflow">if</span>( (flags &amp; VV_DOT_FLAG) &amp;&amp; vvDotTable ) <span class="keyword">delete</span>[] vvDotTable , vvDotTable = NULL;</div>
<div class="line"><a name="l00288"></a><span class="lineno">  288</span>&#160;      <span class="keywordflow">if</span>( (flags &amp; DV_DOT_FLAG) &amp;&amp; dvDotTable ) <span class="keyword">delete</span>[] dvDotTable , dvDotTable = NULL;</div>
<div class="line"><a name="l00289"></a><span class="lineno">  289</span>&#160;      <span class="keywordflow">if</span>( (flags &amp; DD_DOT_FLAG) &amp;&amp; ddDotTable ) <span class="keyword">delete</span>[] ddDotTable , ddDotTable = NULL;</div>
<div class="line"><a name="l00290"></a><span class="lineno">  290</span>&#160;    }</div>
<div class="line"><a name="l00291"></a><span class="lineno">  291</span>&#160;    <span class="keyword">template</span>&lt; <span class="keywordtype">int</span> Degree , <span class="keyword">class</span> Real &gt;</div>
<div class="line"><a name="l00292"></a><span class="lineno">  292</span>&#160;    <span class="keywordtype">void</span> BSplineData&lt; Degree , Real &gt;::setSampleSpan( <span class="keywordtype">int</span> idx , <span class="keywordtype">int</span>&amp; start , <span class="keywordtype">int</span>&amp; end , <span class="keywordtype">double</span> smooth )<span class="keyword"> const</span></div>
<div class="line"><a name="l00293"></a><span class="lineno">  293</span>&#160;<span class="keyword">    </span>{</div>
<div class="line"><a name="l00294"></a><span class="lineno">  294</span>&#160;      <span class="keywordtype">int</span> d , off , res;</div>
<div class="line"><a name="l00295"></a><span class="lineno">  295</span>&#160;      BinaryNode&lt; double &gt;::DepthAndOffset( idx , d , off );</div>
<div class="line"><a name="l00296"></a><span class="lineno">  296</span>&#160;      res = 1&lt;&lt;d;</div>
<div class="line"><a name="l00297"></a><span class="lineno">  297</span>&#160;      <span class="keywordtype">double</span> _start = ( off + 0.5 - 0.5*(Degree+1) ) / res - smooth;</div>
<div class="line"><a name="l00298"></a><span class="lineno">  298</span>&#160;      <span class="keywordtype">double</span> _end   = ( off + 0.5 + 0.5*(Degree+1) ) / res + smooth;</div>
<div class="line"><a name="l00299"></a><span class="lineno">  299</span>&#160;      <span class="comment">//   (start)/(sampleCount-1) &gt;_start &amp;&amp; (start-1)/(sampleCount-1)&lt;=_start</span></div>
<div class="line"><a name="l00300"></a><span class="lineno">  300</span>&#160;      <span class="comment">// =&gt; start &gt; _start * (sampleCount-1 ) &amp;&amp; start &lt;= _start*(sampleCount-1) + 1</span></div>
<div class="line"><a name="l00301"></a><span class="lineno">  301</span>&#160;      <span class="comment">// =&gt; _start * (sampleCount-1) + 1 &gt;= start &gt; _start * (sampleCount-1)</span></div>
<div class="line"><a name="l00302"></a><span class="lineno">  302</span>&#160;      start = int( floor( _start * (sampleCount-1) + 1 ) );</div>
<div class="line"><a name="l00303"></a><span class="lineno">  303</span>&#160;      <span class="keywordflow">if</span>( start&lt;0 ) start = 0;</div>
<div class="line"><a name="l00304"></a><span class="lineno">  304</span>&#160;      <span class="comment">//   (end)/(sampleCount-1)&lt;_end &amp;&amp; (end+1)/(sampleCount-1)&gt;=_end</span></div>
<div class="line"><a name="l00305"></a><span class="lineno">  305</span>&#160;      <span class="comment">// =&gt; end &lt; _end * (sampleCount-1 ) &amp;&amp; end &gt;= _end*(sampleCount-1) - 1</span></div>
<div class="line"><a name="l00306"></a><span class="lineno">  306</span>&#160;      <span class="comment">// =&gt; _end * (sampleCount-1) &gt; end &gt;= _end * (sampleCount-1) - 1</span></div>
<div class="line"><a name="l00307"></a><span class="lineno">  307</span>&#160;      end = int( ceil( _end * (sampleCount-1) - 1 ) );</div>
<div class="line"><a name="l00308"></a><span class="lineno">  308</span>&#160;      <span class="keywordflow">if</span>( end&gt;=sampleCount ) end = sampleCount-1;</div>
<div class="line"><a name="l00309"></a><span class="lineno">  309</span>&#160;    }</div>
<div class="line"><a name="l00310"></a><span class="lineno">  310</span>&#160;    <span class="keyword">template</span>&lt;<span class="keywordtype">int</span> Degree,<span class="keyword">class</span> Real&gt;</div>
<div class="line"><a name="l00311"></a><span class="lineno">  311</span>&#160;    <span class="keywordtype">void</span> BSplineData&lt;Degree,Real&gt;::setValueTables( <span class="keywordtype">int</span> flags , <span class="keywordtype">double</span> smooth )</div>
<div class="line"><a name="l00312"></a><span class="lineno">  312</span>&#160;    {</div>
<div class="line"><a name="l00313"></a><span class="lineno">  313</span>&#160;      clearValueTables();</div>
<div class="line"><a name="l00314"></a><span class="lineno">  314</span>&#160;      <span class="keywordflow">if</span>( flags &amp;   VALUE_FLAG )  valueTables = <span class="keyword">new</span> Real[functionCount*sampleCount];</div>
<div class="line"><a name="l00315"></a><span class="lineno">  315</span>&#160;      <span class="keywordflow">if</span>( flags &amp; D_VALUE_FLAG ) dValueTables = <span class="keyword">new</span> Real[functionCount*sampleCount];</div>
<div class="line"><a name="l00316"></a><span class="lineno">  316</span>&#160;      PPolynomial&lt;Degree+1&gt; <span class="keyword">function</span>;</div>
<div class="line"><a name="l00317"></a><span class="lineno">  317</span>&#160;      PPolynomial&lt;Degree&gt;  dFunction;</div>
<div class="line"><a name="l00318"></a><span class="lineno">  318</span>&#160;      <span class="keywordflow">for</span>( <span class="keywordtype">int</span> i=0 ; i&lt;functionCount ; i++ )</div>
<div class="line"><a name="l00319"></a><span class="lineno">  319</span>&#160;      {</div>
<div class="line"><a name="l00320"></a><span class="lineno">  320</span>&#160;        <span class="keywordflow">if</span>(smooth&gt;0)</div>
<div class="line"><a name="l00321"></a><span class="lineno">  321</span>&#160;        {</div>
<div class="line"><a name="l00322"></a><span class="lineno">  322</span>&#160;          <span class="keyword">function</span>  = baseFunctions[i].MovingAverage(smooth);</div>
<div class="line"><a name="l00323"></a><span class="lineno">  323</span>&#160;          dFunction = baseFunctions[i].derivative().MovingAverage(smooth);</div>
<div class="line"><a name="l00324"></a><span class="lineno">  324</span>&#160;        }</div>
<div class="line"><a name="l00325"></a><span class="lineno">  325</span>&#160;        <span class="keywordflow">else</span></div>
<div class="line"><a name="l00326"></a><span class="lineno">  326</span>&#160;        {</div>
<div class="line"><a name="l00327"></a><span class="lineno">  327</span>&#160;          <span class="keyword">function</span>  = baseFunctions[i];</div>
<div class="line"><a name="l00328"></a><span class="lineno">  328</span>&#160;          dFunction = baseFunctions[i].derivative();</div>
<div class="line"><a name="l00329"></a><span class="lineno">  329</span>&#160;        }</div>
<div class="line"><a name="l00330"></a><span class="lineno">  330</span>&#160;        <span class="keywordflow">for</span>( <span class="keywordtype">int</span> j=0 ; j&lt;sampleCount ; j++ )</div>
<div class="line"><a name="l00331"></a><span class="lineno">  331</span>&#160;        {</div>
<div class="line"><a name="l00332"></a><span class="lineno">  332</span>&#160;          <span class="keywordtype">double</span> x=double(j)/(sampleCount-1);</div>
<div class="line"><a name="l00333"></a><span class="lineno">  333</span>&#160;          <span class="keywordflow">if</span>(flags &amp;   VALUE_FLAG){ valueTables[j*functionCount+i]=Real( <span class="keyword">function</span>(x));}</div>
<div class="line"><a name="l00334"></a><span class="lineno">  334</span>&#160;          <span class="keywordflow">if</span>(flags &amp; D_VALUE_FLAG){dValueTables[j*functionCount+i]=Real(dFunction(x));}</div>
<div class="line"><a name="l00335"></a><span class="lineno">  335</span>&#160;        }</div>
<div class="line"><a name="l00336"></a><span class="lineno">  336</span>&#160;      }</div>
<div class="line"><a name="l00337"></a><span class="lineno">  337</span>&#160;    }</div>
<div class="line"><a name="l00338"></a><span class="lineno">  338</span>&#160;    <span class="keyword">template</span>&lt;<span class="keywordtype">int</span> Degree,<span class="keyword">class</span> Real&gt;</div>
<div class="line"><a name="l00339"></a><span class="lineno">  339</span>&#160;    <span class="keywordtype">void</span> BSplineData&lt;Degree,Real&gt;::setValueTables(<span class="keywordtype">int</span> flags,<span class="keywordtype">double</span> valueSmooth,<span class="keywordtype">double</span> normalSmooth){</div>
<div class="line"><a name="l00340"></a><span class="lineno">  340</span>&#160;      clearValueTables();</div>
<div class="line"><a name="l00341"></a><span class="lineno">  341</span>&#160;      <span class="keywordflow">if</span>(flags &amp;   VALUE_FLAG){ valueTables=<span class="keyword">new</span> Real[functionCount*sampleCount];}</div>
<div class="line"><a name="l00342"></a><span class="lineno">  342</span>&#160;      <span class="keywordflow">if</span>(flags &amp; D_VALUE_FLAG){dValueTables=<span class="keyword">new</span> Real[functionCount*sampleCount];}</div>
<div class="line"><a name="l00343"></a><span class="lineno">  343</span>&#160;      PPolynomial&lt;Degree+1&gt; <span class="keyword">function</span>;</div>
<div class="line"><a name="l00344"></a><span class="lineno">  344</span>&#160;      PPolynomial&lt;Degree&gt;  dFunction;</div>
<div class="line"><a name="l00345"></a><span class="lineno">  345</span>&#160;      <span class="keywordflow">for</span>(<span class="keywordtype">int</span> i=0;i&lt;functionCount;i++){</div>
<div class="line"><a name="l00346"></a><span class="lineno">  346</span>&#160;        <span class="keywordflow">if</span>(valueSmooth&gt;0)   { <span class="keyword">function</span>=baseFunctions[i].MovingAverage(valueSmooth);}</div>
<div class="line"><a name="l00347"></a><span class="lineno">  347</span>&#160;        <span class="keywordflow">else</span>                { <span class="keyword">function</span>=baseFunctions[i];}</div>
<div class="line"><a name="l00348"></a><span class="lineno">  348</span>&#160;        <span class="keywordflow">if</span>(normalSmooth&gt;0)  {dFunction=baseFunctions[i].derivative().MovingAverage(normalSmooth);}</div>
<div class="line"><a name="l00349"></a><span class="lineno">  349</span>&#160;        <span class="keywordflow">else</span>                {dFunction=baseFunctions[i].derivative();}</div>
<div class="line"><a name="l00350"></a><span class="lineno">  350</span>&#160; </div>
<div class="line"><a name="l00351"></a><span class="lineno">  351</span>&#160;        <span class="keywordflow">for</span>(<span class="keywordtype">int</span> j=0;j&lt;sampleCount;j++){</div>
<div class="line"><a name="l00352"></a><span class="lineno">  352</span>&#160;          <span class="keywordtype">double</span> x=double(j)/(sampleCount-1);</div>
<div class="line"><a name="l00353"></a><span class="lineno">  353</span>&#160;          <span class="keywordflow">if</span>(flags &amp;   VALUE_FLAG){ valueTables[j*functionCount+i]=Real( <span class="keyword">function</span>(x));}</div>
<div class="line"><a name="l00354"></a><span class="lineno">  354</span>&#160;          <span class="keywordflow">if</span>(flags &amp; D_VALUE_FLAG){dValueTables[j*functionCount+i]=Real(dFunction(x));}</div>
<div class="line"><a name="l00355"></a><span class="lineno">  355</span>&#160;        }</div>
<div class="line"><a name="l00356"></a><span class="lineno">  356</span>&#160;      }</div>
<div class="line"><a name="l00357"></a><span class="lineno">  357</span>&#160;    }</div>
<div class="line"><a name="l00358"></a><span class="lineno">  358</span>&#160; </div>
<div class="line"><a name="l00359"></a><span class="lineno">  359</span>&#160; </div>
<div class="line"><a name="l00360"></a><span class="lineno">  360</span>&#160;    <span class="keyword">template</span>&lt;<span class="keywordtype">int</span> Degree,<span class="keyword">class</span> Real&gt;</div>
<div class="line"><a name="l00361"></a><span class="lineno">  361</span>&#160;    <span class="keywordtype">void</span> BSplineData&lt;Degree,Real&gt;::clearValueTables(<span class="keywordtype">void</span>){</div>
<div class="line"><a name="l00362"></a><span class="lineno">  362</span>&#160;      <span class="keywordflow">if</span>( valueTables){<span class="keyword">delete</span>[]  valueTables;}</div>
<div class="line"><a name="l00363"></a><span class="lineno">  363</span>&#160;      <span class="keywordflow">if</span>(dValueTables){<span class="keyword">delete</span>[] dValueTables;}</div>
<div class="line"><a name="l00364"></a><span class="lineno">  364</span>&#160;      valueTables=dValueTables=NULL;</div>
<div class="line"><a name="l00365"></a><span class="lineno">  365</span>&#160;    }</div>
<div class="line"><a name="l00366"></a><span class="lineno">  366</span>&#160; </div>
<div class="line"><a name="l00367"></a><span class="lineno">  367</span>&#160;    <span class="keyword">template</span>&lt;<span class="keywordtype">int</span> Degree,<span class="keyword">class</span> Real&gt;</div>
<div class="line"><a name="l00368"></a><span class="lineno">  368</span>&#160;    <span class="keyword">inline</span> <span class="keywordtype">int</span> BSplineData&lt;Degree,Real&gt;::Index( <span class="keywordtype">int</span> i1 , <span class="keywordtype">int</span> i2 )<span class="keyword"> const </span>{ <span class="keywordflow">return</span> i1*functionCount+i2; }</div>
<div class="line"><a name="l00369"></a><span class="lineno">  369</span>&#160;    <span class="keyword">template</span>&lt;<span class="keywordtype">int</span> Degree,<span class="keyword">class</span> Real&gt;</div>
<div class="line"><a name="l00370"></a><span class="lineno">  370</span>&#160;    <span class="keyword">inline</span> <span class="keywordtype">int</span> BSplineData&lt;Degree,Real&gt;::SymmetricIndex( <span class="keywordtype">int</span> i1 , <span class="keywordtype">int</span> i2 )</div>
<div class="line"><a name="l00371"></a><span class="lineno">  371</span>&#160;    {</div>
<div class="line"><a name="l00372"></a><span class="lineno">  372</span>&#160;      <span class="keywordflow">if</span>( i1&gt;i2 ) <span class="keywordflow">return</span> ((i1*i1+i1)&gt;&gt;1)+i2;</div>
<div class="line"><a name="l00373"></a><span class="lineno">  373</span>&#160;      <span class="keywordflow">else</span>        <span class="keywordflow">return</span> ((i2*i2+i2)&gt;&gt;1)+i1;</div>
<div class="line"><a name="l00374"></a><span class="lineno">  374</span>&#160;    }</div>
<div class="line"><a name="l00375"></a><span class="lineno">  375</span>&#160;    <span class="keyword">template</span>&lt;<span class="keywordtype">int</span> Degree,<span class="keyword">class</span> Real&gt;</div>
<div class="line"><a name="l00376"></a><span class="lineno">  376</span>&#160;    <span class="keyword">inline</span> <span class="keywordtype">int</span> BSplineData&lt;Degree,Real&gt;::SymmetricIndex( <span class="keywordtype">int</span> i1 , <span class="keywordtype">int</span> i2 , <span class="keywordtype">int</span>&amp; index )</div>
<div class="line"><a name="l00377"></a><span class="lineno">  377</span>&#160;    {</div>
<div class="line"><a name="l00378"></a><span class="lineno">  378</span>&#160;      <span class="keywordflow">if</span>( i1&lt;i2 )</div>
<div class="line"><a name="l00379"></a><span class="lineno">  379</span>&#160;      {</div>
<div class="line"><a name="l00380"></a><span class="lineno">  380</span>&#160;        index = ((i2*i2+i2)&gt;&gt;1)+i1;</div>
<div class="line"><a name="l00381"></a><span class="lineno">  381</span>&#160;        <span class="keywordflow">return</span> 1;</div>
<div class="line"><a name="l00382"></a><span class="lineno">  382</span>&#160;      }</div>
<div class="line"><a name="l00383"></a><span class="lineno">  383</span>&#160;      <span class="keywordflow">else</span></div>
<div class="line"><a name="l00384"></a><span class="lineno">  384</span>&#160;      {</div>
<div class="line"><a name="l00385"></a><span class="lineno">  385</span>&#160;        index = ((i1*i1+i1)&gt;&gt;1)+i2;</div>
<div class="line"><a name="l00386"></a><span class="lineno">  386</span>&#160;        <span class="keywordflow">return</span> 0;</div>
<div class="line"><a name="l00387"></a><span class="lineno">  387</span>&#160;      }</div>
<div class="line"><a name="l00388"></a><span class="lineno">  388</span>&#160;    }</div>
<div class="line"><a name="l00389"></a><span class="lineno">  389</span>&#160; </div>
<div class="line"><a name="l00390"></a><span class="lineno">  390</span>&#160; </div>
<div class="line"><a name="l00392"></a><span class="lineno">  392</span>&#160;    <span class="comment">// BSplineElementData //</span></div>
<div class="line"><a name="l00394"></a><span class="lineno">  394</span>&#160;<span class="comment"></span>    <span class="keyword">template</span>&lt; <span class="keywordtype">int</span> Degree &gt;</div>
<div class="line"><a name="l00395"></a><span class="lineno">  395</span>&#160;    BSplineElements&lt; Degree &gt;::BSplineElements( <span class="keywordtype">int</span> res , <span class="keywordtype">int</span> offset , <span class="keywordtype">int</span> boundary )</div>
<div class="line"><a name="l00396"></a><span class="lineno">  396</span>&#160;    {</div>
<div class="line"><a name="l00397"></a><span class="lineno">  397</span>&#160;      denominator = 1;</div>
<div class="line"><a name="l00398"></a><span class="lineno">  398</span>&#160;      this-&gt;resize( res , BSplineElementCoefficients&lt;Degree&gt;() );</div>
<div class="line"><a name="l00399"></a><span class="lineno">  399</span>&#160; </div>
<div class="line"><a name="l00400"></a><span class="lineno">  400</span>&#160;      <span class="keywordflow">for</span>( <span class="keywordtype">int</span> i=0 ; i&lt;=Degree ; i++ )</div>
<div class="line"><a name="l00401"></a><span class="lineno">  401</span>&#160;      {</div>
<div class="line"><a name="l00402"></a><span class="lineno">  402</span>&#160;        <span class="keywordtype">int</span> idx = -_off + offset + i;</div>
<div class="line"><a name="l00403"></a><span class="lineno">  403</span>&#160;        <span class="keywordflow">if</span>( idx&gt;=0 &amp;&amp; idx&lt;res ) (*this)[idx][i] = 1;</div>
<div class="line"><a name="l00404"></a><span class="lineno">  404</span>&#160;      }</div>
<div class="line"><a name="l00405"></a><span class="lineno">  405</span>&#160;      <span class="keywordflow">if</span>( boundary!=0 )</div>
<div class="line"><a name="l00406"></a><span class="lineno">  406</span>&#160;      {</div>
<div class="line"><a name="l00407"></a><span class="lineno">  407</span>&#160;        _addLeft( offset-2*res , boundary ) , _addRight( offset+2*res , boundary );</div>
<div class="line"><a name="l00408"></a><span class="lineno">  408</span>&#160;        <span class="keywordflow">if</span>( Degree&amp;1 ) _addLeft( offset-res , boundary ) , _addRight(  offset+res     , boundary );</div>
<div class="line"><a name="l00409"></a><span class="lineno">  409</span>&#160;        <span class="keywordflow">else</span>           _addLeft( -offset-1  , boundary ) , _addRight( -offset-1+2*res , boundary );</div>
<div class="line"><a name="l00410"></a><span class="lineno">  410</span>&#160;      }</div>
<div class="line"><a name="l00411"></a><span class="lineno">  411</span>&#160;    }</div>
<div class="line"><a name="l00412"></a><span class="lineno">  412</span>&#160;    <span class="keyword">template</span>&lt; <span class="keywordtype">int</span> Degree &gt;</div>
<div class="line"><a name="l00413"></a><span class="lineno">  413</span>&#160;    <span class="keywordtype">void</span> BSplineElements&lt; Degree &gt;::_addLeft( <span class="keywordtype">int</span> offset , <span class="keywordtype">int</span> boundary )</div>
<div class="line"><a name="l00414"></a><span class="lineno">  414</span>&#160;    {</div>
<div class="line"><a name="l00415"></a><span class="lineno">  415</span>&#160;      <span class="keywordtype">int</span> res = int( this-&gt;size() );</div>
<div class="line"><a name="l00416"></a><span class="lineno">  416</span>&#160;      <span class="keywordtype">bool</span> set = <span class="keyword">false</span>;</div>
<div class="line"><a name="l00417"></a><span class="lineno">  417</span>&#160;      <span class="keywordflow">for</span>( <span class="keywordtype">int</span> i=0 ; i&lt;=Degree ; i++ )</div>
<div class="line"><a name="l00418"></a><span class="lineno">  418</span>&#160;      {</div>
<div class="line"><a name="l00419"></a><span class="lineno">  419</span>&#160;        <span class="keywordtype">int</span> idx = -_off + offset + i;</div>
<div class="line"><a name="l00420"></a><span class="lineno">  420</span>&#160;        <span class="keywordflow">if</span>( idx&gt;=0 &amp;&amp; idx&lt;res ) (*this)[idx][i] += boundary , set = <span class="keyword">true</span>;</div>
<div class="line"><a name="l00421"></a><span class="lineno">  421</span>&#160;      }</div>
<div class="line"><a name="l00422"></a><span class="lineno">  422</span>&#160;      <span class="keywordflow">if</span>( set ) _addLeft( offset-2*res , boundary );</div>
<div class="line"><a name="l00423"></a><span class="lineno">  423</span>&#160;    }</div>
<div class="line"><a name="l00424"></a><span class="lineno">  424</span>&#160;    <span class="keyword">template</span>&lt; <span class="keywordtype">int</span> Degree &gt;</div>
<div class="line"><a name="l00425"></a><span class="lineno">  425</span>&#160;    <span class="keywordtype">void</span> BSplineElements&lt; Degree &gt;::_addRight( <span class="keywordtype">int</span> offset , <span class="keywordtype">int</span> boundary )</div>
<div class="line"><a name="l00426"></a><span class="lineno">  426</span>&#160;    {</div>
<div class="line"><a name="l00427"></a><span class="lineno">  427</span>&#160;      <span class="keywordtype">int</span> res = int( this-&gt;size() );</div>
<div class="line"><a name="l00428"></a><span class="lineno">  428</span>&#160;      <span class="keywordtype">bool</span> set = <span class="keyword">false</span>;</div>
<div class="line"><a name="l00429"></a><span class="lineno">  429</span>&#160;      <span class="keywordflow">for</span>( <span class="keywordtype">int</span> i=0 ; i&lt;=Degree ; i++ )</div>
<div class="line"><a name="l00430"></a><span class="lineno">  430</span>&#160;      {</div>
<div class="line"><a name="l00431"></a><span class="lineno">  431</span>&#160;        <span class="keywordtype">int</span> idx = -_off + offset + i;</div>
<div class="line"><a name="l00432"></a><span class="lineno">  432</span>&#160;        <span class="keywordflow">if</span>( idx&gt;=0 &amp;&amp; idx&lt;res ) (*this)[idx][i] += boundary , set = <span class="keyword">true</span>;</div>
<div class="line"><a name="l00433"></a><span class="lineno">  433</span>&#160;      }</div>
<div class="line"><a name="l00434"></a><span class="lineno">  434</span>&#160;      <span class="keywordflow">if</span>( set ) _addRight( offset+2*res , boundary );</div>
<div class="line"><a name="l00435"></a><span class="lineno">  435</span>&#160;    }</div>
<div class="line"><a name="l00436"></a><span class="lineno">  436</span>&#160;    <span class="keyword">template</span>&lt; <span class="keywordtype">int</span> Degree &gt;</div>
<div class="line"><a name="l00437"></a><span class="lineno">  437</span>&#160;    <span class="keywordtype">void</span> BSplineElements&lt; Degree &gt;::upSample( BSplineElements&lt; Degree &gt;&amp; high )<span class="keyword"> const</span></div>
<div class="line"><a name="l00438"></a><span class="lineno">  438</span>&#160;<span class="keyword">    </span>{</div>
<div class="line"><a name="l00439"></a><span class="lineno">  439</span>&#160;      fprintf( stderr , <span class="stringliteral">&quot;[ERROR] B-spline up-sampling not supported for degree %d\n&quot;</span> , Degree );</div>
<div class="line"><a name="l00440"></a><span class="lineno">  440</span>&#160;      exit( 0 );</div>
<div class="line"><a name="l00441"></a><span class="lineno">  441</span>&#160;    }</div>
<div class="line"><a name="l00442"></a><span class="lineno">  442</span>&#160;    <span class="keyword">template</span>&lt;&gt;</div>
<div class="line"><a name="l00443"></a><span class="lineno">  443</span>&#160;    <span class="keywordtype">void</span> BSplineElements&lt; 1 &gt;::upSample( BSplineElements&lt; 1 &gt;&amp; high )<span class="keyword"> const</span></div>
<div class="line"><a name="l00444"></a><span class="lineno">  444</span>&#160;<span class="keyword">    </span>{</div>
<div class="line"><a name="l00445"></a><span class="lineno">  445</span>&#160;      high.resize( size()*2 );</div>
<div class="line"><a name="l00446"></a><span class="lineno">  446</span>&#160;      high.assign( high.size() , BSplineElementCoefficients&lt;1&gt;() );</div>
<div class="line"><a name="l00447"></a><span class="lineno">  447</span>&#160;      <span class="keywordflow">for</span>( <span class="keywordtype">int</span> i=0 ; i&lt;int(size()) ; i++ )</div>
<div class="line"><a name="l00448"></a><span class="lineno">  448</span>&#160;      {</div>
<div class="line"><a name="l00449"></a><span class="lineno">  449</span>&#160;        high[2*i+0][0] += 1 * (*this)[i][0];</div>
<div class="line"><a name="l00450"></a><span class="lineno">  450</span>&#160;        high[2*i+0][1] += 0 * (*this)[i][0];</div>
<div class="line"><a name="l00451"></a><span class="lineno">  451</span>&#160;        high[2*i+1][0] += 2 * (*this)[i][0];</div>
<div class="line"><a name="l00452"></a><span class="lineno">  452</span>&#160;        high[2*i+1][1] += 1 * (*this)[i][0];</div>
<div class="line"><a name="l00453"></a><span class="lineno">  453</span>&#160; </div>
<div class="line"><a name="l00454"></a><span class="lineno">  454</span>&#160;        high[2*i+0][0] += 1 * (*this)[i][1];</div>
<div class="line"><a name="l00455"></a><span class="lineno">  455</span>&#160;        high[2*i+0][1] += 2 * (*this)[i][1];</div>
<div class="line"><a name="l00456"></a><span class="lineno">  456</span>&#160;        high[2*i+1][0] += 0 * (*this)[i][1];</div>
<div class="line"><a name="l00457"></a><span class="lineno">  457</span>&#160;        high[2*i+1][1] += 1 * (*this)[i][1];</div>
<div class="line"><a name="l00458"></a><span class="lineno">  458</span>&#160;      }</div>
<div class="line"><a name="l00459"></a><span class="lineno">  459</span>&#160;      high.denominator = denominator * 2;</div>
<div class="line"><a name="l00460"></a><span class="lineno">  460</span>&#160;    }</div>
<div class="line"><a name="l00461"></a><span class="lineno">  461</span>&#160;    <span class="keyword">template</span>&lt;&gt;</div>
<div class="line"><a name="l00462"></a><span class="lineno">  462</span>&#160;    <span class="keywordtype">void</span> BSplineElements&lt; 2 &gt;::upSample( BSplineElements&lt; 2 &gt;&amp; high )<span class="keyword"> const</span></div>
<div class="line"><a name="l00463"></a><span class="lineno">  463</span>&#160;<span class="keyword">    </span>{</div>
<div class="line"><a name="l00464"></a><span class="lineno">  464</span>&#160;      <span class="comment">//    /----\</span></div>
<div class="line"><a name="l00465"></a><span class="lineno">  465</span>&#160;<span class="comment">      //   /      \</span></div>
<div class="line"><a name="l00466"></a><span class="lineno">  466</span>&#160;<span class="comment">      //  /        \  = 1  /--\       +3    /--\     +3      /--\   +1        /--\</span></div>
<div class="line"><a name="l00467"></a><span class="lineno">  467</span>&#160;<span class="comment">      // /          \     /    \           /    \           /    \           /    \</span></div>
<div class="line"><a name="l00468"></a><span class="lineno">  468</span>&#160;<span class="comment">      // |----------|     |----------|   |----------|   |----------|   |----------|</span></div>
<div class="line"><a name="l00469"></a><span class="lineno">  469</span>&#160; </div>
<div class="line"><a name="l00470"></a><span class="lineno">  470</span>&#160;      high.resize( size()*2 );</div>
<div class="line"><a name="l00471"></a><span class="lineno">  471</span>&#160;      high.assign( high.size() , BSplineElementCoefficients&lt;2&gt;() );</div>
<div class="line"><a name="l00472"></a><span class="lineno">  472</span>&#160;      <span class="keywordflow">for</span>( <span class="keywordtype">int</span> i=0 ; i&lt;int(size()) ; i++ )</div>
<div class="line"><a name="l00473"></a><span class="lineno">  473</span>&#160;      {</div>
<div class="line"><a name="l00474"></a><span class="lineno">  474</span>&#160;        high[2*i+0][0] += 1 * (*this)[i][0];</div>
<div class="line"><a name="l00475"></a><span class="lineno">  475</span>&#160;        high[2*i+0][1] += 0 * (*this)[i][0];</div>
<div class="line"><a name="l00476"></a><span class="lineno">  476</span>&#160;        high[2*i+0][2] += 0 * (*this)[i][0];</div>
<div class="line"><a name="l00477"></a><span class="lineno">  477</span>&#160;        high[2*i+1][0] += 3 * (*this)[i][0];</div>
<div class="line"><a name="l00478"></a><span class="lineno">  478</span>&#160;        high[2*i+1][1] += 1 * (*this)[i][0];</div>
<div class="line"><a name="l00479"></a><span class="lineno">  479</span>&#160;        high[2*i+1][2] += 0 * (*this)[i][0];</div>
<div class="line"><a name="l00480"></a><span class="lineno">  480</span>&#160; </div>
<div class="line"><a name="l00481"></a><span class="lineno">  481</span>&#160;        high[2*i+0][0] += 3 * (*this)[i][1];</div>
<div class="line"><a name="l00482"></a><span class="lineno">  482</span>&#160;        high[2*i+0][1] += 3 * (*this)[i][1];</div>
<div class="line"><a name="l00483"></a><span class="lineno">  483</span>&#160;        high[2*i+0][2] += 1 * (*this)[i][1];</div>
<div class="line"><a name="l00484"></a><span class="lineno">  484</span>&#160;        high[2*i+1][0] += 1 * (*this)[i][1];</div>
<div class="line"><a name="l00485"></a><span class="lineno">  485</span>&#160;        high[2*i+1][1] += 3 * (*this)[i][1];</div>
<div class="line"><a name="l00486"></a><span class="lineno">  486</span>&#160;        high[2*i+1][2] += 3 * (*this)[i][1];</div>
<div class="line"><a name="l00487"></a><span class="lineno">  487</span>&#160; </div>
<div class="line"><a name="l00488"></a><span class="lineno">  488</span>&#160;        high[2*i+0][0] += 0 * (*this)[i][2];</div>
<div class="line"><a name="l00489"></a><span class="lineno">  489</span>&#160;        high[2*i+0][1] += 1 * (*this)[i][2];</div>
<div class="line"><a name="l00490"></a><span class="lineno">  490</span>&#160;        high[2*i+0][2] += 3 * (*this)[i][2];</div>
<div class="line"><a name="l00491"></a><span class="lineno">  491</span>&#160;        high[2*i+1][0] += 0 * (*this)[i][2];</div>
<div class="line"><a name="l00492"></a><span class="lineno">  492</span>&#160;        high[2*i+1][1] += 0 * (*this)[i][2];</div>
<div class="line"><a name="l00493"></a><span class="lineno">  493</span>&#160;        high[2*i+1][2] += 1 * (*this)[i][2];</div>
<div class="line"><a name="l00494"></a><span class="lineno">  494</span>&#160;      }</div>
<div class="line"><a name="l00495"></a><span class="lineno">  495</span>&#160;      high.denominator = denominator * 4;</div>
<div class="line"><a name="l00496"></a><span class="lineno">  496</span>&#160;    }</div>
<div class="line"><a name="l00497"></a><span class="lineno">  497</span>&#160; </div>
<div class="line"><a name="l00498"></a><span class="lineno">  498</span>&#160;    <span class="keyword">template</span>&lt; <span class="keywordtype">int</span> Degree &gt;</div>
<div class="line"><a name="l00499"></a><span class="lineno">  499</span>&#160;    <span class="keywordtype">void</span> BSplineElements&lt; Degree &gt;::differentiate( BSplineElements&lt; Degree-1 &gt;&amp; d )<span class="keyword"> const</span></div>
<div class="line"><a name="l00500"></a><span class="lineno">  500</span>&#160;<span class="keyword">    </span>{</div>
<div class="line"><a name="l00501"></a><span class="lineno">  501</span>&#160;      d.resize( this-&gt;size() );</div>
<div class="line"><a name="l00502"></a><span class="lineno">  502</span>&#160;      d.assign( d.size()  , BSplineElementCoefficients&lt; Degree-1 &gt;() );</div>
<div class="line"><a name="l00503"></a><span class="lineno">  503</span>&#160;      <span class="keywordflow">for</span>( <span class="keywordtype">int</span> i=0 ; i&lt;int(this-&gt;size()) ; i++ ) <span class="keywordflow">for</span>( <span class="keywordtype">int</span> j=0 ; j&lt;=Degree ; j++ )</div>
<div class="line"><a name="l00504"></a><span class="lineno">  504</span>&#160;      {</div>
<div class="line"><a name="l00505"></a><span class="lineno">  505</span>&#160;        <span class="keywordflow">if</span>( j-1&gt;=0 )   d[i][j-1] -= (*this)[i][j];</div>
<div class="line"><a name="l00506"></a><span class="lineno">  506</span>&#160;        <span class="keywordflow">if</span>( j&lt;Degree ) d[i][j  ] += (*this)[i][j];</div>
<div class="line"><a name="l00507"></a><span class="lineno">  507</span>&#160;      }</div>
<div class="line"><a name="l00508"></a><span class="lineno">  508</span>&#160;      d.denominator = denominator;</div>
<div class="line"><a name="l00509"></a><span class="lineno">  509</span>&#160;    }</div>
<div class="line"><a name="l00510"></a><span class="lineno">  510</span>&#160;    <span class="comment">// If we were really good, we would implement this integral table to store</span></div>
<div class="line"><a name="l00511"></a><span class="lineno">  511</span>&#160;    <span class="comment">// rational values to improve precision...</span></div>
<div class="line"><a name="l00512"></a><span class="lineno">  512</span>&#160;    <span class="keyword">template</span>&lt; <span class="keywordtype">int</span> Degree1 , <span class="keywordtype">int</span> Degree2 &gt;</div>
<div class="line"><a name="l00513"></a><span class="lineno">  513</span>&#160;    <span class="keywordtype">void</span> SetBSplineElementIntegrals( <span class="keywordtype">double</span> integrals[Degree1+1][Degree2+1] )</div>
<div class="line"><a name="l00514"></a><span class="lineno">  514</span>&#160;    {</div>
<div class="line"><a name="l00515"></a><span class="lineno">  515</span>&#160;      <span class="keywordflow">for</span>( <span class="keywordtype">int</span> i=0 ; i&lt;=Degree1 ; i++ )</div>
<div class="line"><a name="l00516"></a><span class="lineno">  516</span>&#160;      {</div>
<div class="line"><a name="l00517"></a><span class="lineno">  517</span>&#160;        Polynomial&lt; Degree1 &gt; p1 = Polynomial&lt; Degree1 &gt;::BSplineComponent( i );</div>
<div class="line"><a name="l00518"></a><span class="lineno">  518</span>&#160;        <span class="keywordflow">for</span>( <span class="keywordtype">int</span> j=0 ; j&lt;=Degree2 ; j++ )</div>
<div class="line"><a name="l00519"></a><span class="lineno">  519</span>&#160;        {</div>
<div class="line"><a name="l00520"></a><span class="lineno">  520</span>&#160;          Polynomial&lt; Degree2 &gt; p2 = Polynomial&lt; Degree2 &gt;::BSplineComponent( j );</div>
<div class="line"><a name="l00521"></a><span class="lineno">  521</span>&#160;          integrals[i][j] = ( p1 * p2 ).integral( 0 , 1 );</div>
<div class="line"><a name="l00522"></a><span class="lineno">  522</span>&#160;        }</div>
<div class="line"><a name="l00523"></a><span class="lineno">  523</span>&#160;      }</div>
<div class="line"><a name="l00524"></a><span class="lineno">  524</span>&#160;    }</div>
<div class="line"><a name="l00525"></a><span class="lineno">  525</span>&#160; </div>
<div class="line"><a name="l00526"></a><span class="lineno">  526</span>&#160; </div>
<div class="line"><a name="l00527"></a><span class="lineno">  527</span>&#160;  }</div>
<div class="line"><a name="l00528"></a><span class="lineno">  528</span>&#160;}</div>
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